Q4 of 25 Page 276

If the difference of two acute angles of a right-angled triangle is , then let us write the sexagesimal values of two angles.

let the two angles be x and y.

∵ it is a right-angled triangle


…[1]


Also, by question


…[2]


Adding eq. [1] and eq. [2]


⇒


…[3]


By eq. [1] and eq. [3]



Converting x to sexagesimal angle



⇒



⇒ x° = 81°


∵ y° = 90° – x°


⇒ y° = 9°


More from this chapter

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2

Let us determine the circular values of the followings

(i) 60° (ii) 135°


(ii) -150° (iv) 72°


(v) 22°30’ (vi) -62°30’


(vii) 52°52’30’’

 3

In ΔABC, AC=BC and BC is extended upto the point D. If ∠ACD=144°, then let us determine the circular value of each of the angles of ΔABC.

 5

The measure of one angle of a triangle is 65° and other angle is ; let us write the sexagesimal value and circular value of third angle.

 6

If the sum of two angles is 135° and their difference is ; then let us determine the sexagesimal value and circular value of two angles.